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3 years ago

Which Linear Equation represents the data given in the table A) y= 3x+8 B). Y=8X+3 C). Y=3X-8 D) 8X-3

Mathematics

1 answer:

Snezhnost [94]3 years ago

7 0

<h2>Explanation:</h2><h2></h2>

Hello! remember that you have to write complete questions in order to get good and exact answers. Here you haven't provided any table so I'll assume a table, which is shown below:

$\begin{array}{cc}x & y\\0 & 8\\1 & 11\\2 & 14\\3 & 17\\4 & 20\end{array}$

Remember that the slope intercept form of the equation of a line is given by:

$y=mx+b$

Where:

$m:slope \\ \\ b:y-intercept$

The y-intercept occurs when $x=0$ , thus from the table:

$b=8$

And the slope can be found as:

$m=\frac{y_{2-y_{1}}}{x_{2}-x_{1}} \\ \\ m=\frac{11-8}{1-0}=3$

Therefore, the equation that represents the table is:

$y=3x+8$

Correct option:

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A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a

Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that $n = 12$

She feels that there is a 30% chance of selling any one property during a week.

This means that $p = 0.3$

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138$

$P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712$

$P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678$

Then

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528$

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0

3 years ago

3. The following sets are not equal - An (BUC) and AU(BnC) Construct a universe U and non-empty sets A, B, and C so that the abo

yarga [219]

Answer:

1.U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

2.U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

Step-by-step explanation:

We are given that $A\cap (B\cup C)$ and $A\cup (B\cap C)$

are different sets

1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same

Suppose U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

$B\cap C=\phi$

$B\cup C=$ {2,3,4,5}

$A\cap (B\cup C)$ ={2} $\cap$ {2,3,4,5}={2}

$A\cup (B\cap C)$ ={2} $\cup\phi$ ={2}

Hence, $A\cap (B\cup C)=A\cup (B\cap C)$

2.We have to construct a universe set U and non empty sets A,B and C so that above sets are in fact different

Suppose U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

$B\cap C=\phi$

$B\cup C$ ={2,3,4}

$A\cup (B\cap C)$ ={1,2} $\cup \phi$ ={1,2}

$A\cap (B\cup C)$ ={1,2} $\cap$ {2,3,4}={2}

Hence, $A\cap (B\cup C)\neq A\cup (B\cap C)$

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3 years ago

Please help me with this geometry question <br><br> image attached

vodomira [7]

15/17. The value (ratio) of cos A is 15/17.

The trigonometric ratios of an acute angle are, basically, the sine, the cosine and the tangent. They are defined from an acute angle, α, of a right triangle, whose elements are the hypotenuse, the leg contiguous to the angle, and the leg opposite the angle.

-The sine of the angle is the opposite leg divided by the hypotenuse.

-The cosine of the angle is the adjacent leg divided by the hypotenuse.

-The tangent of the angle is the opposite leg divided by the adjacent leg or, which is the same, the sine of the angle divided by the cosine of the angle.

cos A = adjacent leg/hypothenuse = BC/AC = 15/17

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3 years ago

Joelle would like to tip her hairdresser 20%. If her haircut costs $38.00, which expression should she use to find the tip amoun

Ksju [112]

Answer:

(0.2)(38)

Step-by-step explanation:

To find a percent, you multiply the number (cost) by the decimal of the percent

20% as a decimal is .2

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3 years ago

Read 2 more answers

in the year 2006 there were 163,476 wildfires in a county. This was 12520 less than four times the number of wildfires in the ye

sesenic [268]

x= wildfires in 2003

163,476= 4x - 12,520

(163,476 + 12,520) / 4

x = 43,999 your answer is 43,999

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3 years ago